因数 3ax+8b-6bx-4a

解

因数

3 a x + 8 b - 6 b x - 4 a

(a - 2 b) (3 x - 4)

解答ステップ

3 a x + 8 b - 6 b x - 4 a

書き換え

= 3 x a + 8 b - 2 \cdot 3 x b - 4 a

共通項をくくり出す

3 x

= 3 x (a - 2 b) + 8 b - 4 a

書き換え

= 3 x (a - 2 b) + 4 \cdot 2 b - 4 a

共通項をくくり出す

4

= 3 x (a - 2 b) + 4 (2 b - a)

書き換え

= 3 (a - 2 b) x - 4 (a - 2 b)

共通項をくくり出す

(a - 2 b)

= (a - 2 b) (3 x - 4)